Analysis or Networks with Complex Autotransformers

The open-path-closed-path (mixed junction pair and mesh) relations derived in Part I1 are related by invariant transformations and their inverses to the open-path (junction pair) relations with reference ground and reference different from ground. Invariant transformations are also derived for transforming from one set of open-path-closed-path relations to any other set of open-path-closed-path relations. It is also demonstrated that the methods of Part I are applicable to general networks, with impedances and/or simple and complex autotransformers to ground. The immediate major application of the open-path-closed-path reference frame is in the area of total losses and incremental losses.